Critical Behavior of the 3D anisotropic quantum Heisenberg model in a trimodal random field distribution

TL;DR

This study explores how a trimodal random magnetic field influences the phase diagrams of the 3D anisotropic quantum Heisenberg model, revealing effects on tricritical points and phase transitions using effective field theory.

Contribution

It introduces a detailed analysis of the impact of trimodal random fields on the phase behavior of the 3D anisotropic quantum Heisenberg model using effective field theory.

Findings

Phase diagrams vary with random field parameters.

Anisotropy affects phase transition characteristics.

Tricritical points are sensitive to random field distribution.

Abstract

Effect of the trimodal random magnetic field distribution on the phase diagrams of the anisotropic quantum Heisenberg model has been investigated for three dimensional lattices with effective field theory (EFT) for a two spin cluster. Variation of the phase diagrams with the random magnetic field distribution parameters has been obtained and the effect of the anisotropy in the exchange interaction on the phase diagrams has been investigated in detail. Particular attention has been devoted on the behavior of the tricritical points with random magnetic field distribution.